<?xml version="1.0" encoding="utf-8"?>
<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" xmlns:q="http://cnx.rice.edu/qml/1.0" id="id47575752" module-id="m12345" cnxml-version="0.6">
  <title>Recognising and describing angles</title>
  <metadata xmlns:md="http://cnx.rice.edu/mdml/0.4">
  <!-- WARNING! The 'metadata' section is read only. Do not edit below.
       Changes to the metadata section in the source will not be saved. -->
  <md:content-id>m21117</md:content-id>
  <md:title>Recognising and describing angles</md:title>
  <md:version>1.1</md:version>
  <md:created>2009/03/28 07:32:52.078 GMT-5</md:created>
  <md:revised>2009/03/28 08:16:44.669 GMT-5</md:revised>
  <md:authorlist>
    <md:author id="saayman">
        <md:firstname>Helen</md:firstname>
        <md:surname>Saayman</md:surname>
        <md:fullname>Helen Saayman</md:fullname>
        <md:email>mark.horner@shuttleworthfoundation.org</md:email>
    </md:author>
  </md:authorlist>
  <md:maintainerlist>
    <md:maintainer id="saayman">
        <md:firstname>Helen</md:firstname>
        <md:surname>Saayman</md:surname>
        <md:fullname>Helen Saayman</md:fullname>
        <md:email>mark.horner@shuttleworthfoundation.org</md:email>
    </md:maintainer>
  </md:maintainerlist>
  <md:license href="http://creativecommons.org/licenses/by/3.0/"/>
  <md:licensorlist>
    <md:licensor id="saayman">
        <md:firstname>Helen</md:firstname>
        <md:surname>Saayman</md:surname>
        <md:fullname>Helen Saayman</md:fullname>
        <md:email>mark.horner@shuttleworthfoundation.org</md:email>
    </md:licensor>
  </md:licensorlist>
  <md:subjectlist>
    <md:subject>Mathematics and Statistics</md:subject>
  </md:subjectlist>
  <md:abstract/>
  <md:language>en</md:language>
  <!-- WARNING! The 'metadata' section is read only. Do not edit above.
       Changes to the metadata section in the source will not be saved. -->
</metadata>

<content>
    <section id="id42567425">
      <title>MATHEMATICS</title>
      <para id="para-id42567425">
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      </para>
    </section>
    <section id="id42567433">
      <title>Geometry</title>
      <para id="para-id42567433">
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      </para>
    </section>
    <section id="id42072345">
      <title>Volume</title>
      <para id="para-id42072345">
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      </para>
    </section>
    <section id="id42072353">
      <title>EDUCATOR SECTION</title>
      <para id="para-id42072353">
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      </para>
    </section>
    <section id="id42099571">
      <title>Memorandum</title>
      <para id="id49231565">Do you remember what the word <emphasis effect="bold">parallel</emphasis> means? Write down the definition for it:</para>
      <para id="id42603679">Invariable </para>
      <para id="id42603683">1. A: Yes</para>
      <para id="id47576811"> B: Yes</para>
      <para id="id47576818">2. C</para>
      <para id="id42597229">1.</para>
      <para id="id42597233">1.1 Obtuse</para>
      <para id="id42095012">1.2 Right angle</para>
      <para id="id42095019">1.3 Rotation</para>
      <para id="id42039874">1.4 Acute</para>
      <para id="id42039881">BRAIN-TEASER!</para>
      <para id="id42386410">1. Acute</para>
      <para id="id42386416"> Obtuse</para>
      <para id="id47585019"> Straight</para>
      <para id="id47585025"> Right angle</para>
      <para id="id47586814">2. Class discussion:</para>
    </section>
    <section id="id47586822">
      <title>LEANER SECTION</title>
      <para id="para-id47586822">
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      </para>
    </section>
    <section id="id42081593">
      <title>Content</title>
      <para id="id42041345">Do you remember what the word parallel means? Write down the definition for it:</para>
      <para id="id42041352">_____________________________________________________________________</para>
      <para id="id42094125">_____________________________________________________________________</para>
      <para id="id42094130">_____________________________________________________________________</para>
      <para id="id47585964"/>
      <para id="id47585968">Let's begin with some "puzzles"!</para>
      <para id="id47585972">Look at the sketches below and answer the questions that follow:</para>
      <para id="id42412045">
        <figure id="id42412053">
          <media id="id42412053_media" alt="">
            <image mime-type="image/png" src="graphics1.png" id="id42412053__onlineimage" height="160" width="585"/>
          </media>
        </figure>
      </para>
      <para id="id41161448">1. Indicate whether EF and GH are parallel to one another in figure </para>
      <para id="id42526499">A: __________________________________________________________________</para>
      <para id="id42526505">B: __________________________________________________________________</para>
      <para id="id42432109">2. Which is the extension of F: C or K? </para>
      <figure id="id42567138">
        <media id="id42567138_media" alt="">
          <image mime-type="image/png" src="graphics2.png" id="id42567138__onlineimage" height="135" width="224"/>
        </media>
      </figure>
      <para id="id41996020">Do you still remember?</para>
      <table id="id41996024" summary="">
        <tgroup cols="2">
          <colspec colnum="1" colname="c1"/>
          <colspec colnum="2" colname="c2"/>
          <tbody>
            <row>
              <entry>
                <media id="id42406675" alt="">
                  <image mime-type="image/png" src="graphics3.png"/>
                </media>
              </entry>
              <entry>indicates a line: AB</entry>
            </row>
            <row>
              <entry>
                <media id="id47586513" alt="">
                  <image mime-type="image/png" src="graphics4.png"/>
                </media>
              </entry>
              <entry>indicates a line segment: EF</entry>
            </row>
            <row>
              <entry>
                <media id="id42079111" alt="">
                  <image mime-type="image/png" src="graphics5.png"/>
                </media>
              </entry>
              <entry>indicates a radius: CD</entry>
            </row>
          </tbody>
        </tgroup>
      </table>
      <para id="id42071491"/>
      <para id="id42037385">Two lines that intersect form an angle.</para>
      <figure id="id42037392">
        <media id="id42037392_media" alt="">
          <image mime-type="image/png" src="graphics6.png" id="id42037392__onlineimage" height="102" width="196"/>
        </media>
      </figure>
      <para id="id42091888">The point where the lines meet is called the vertex.</para>
      <para id="id42091893">We write this as: ÐABC</para>
      <list id="id42384437" list-type="bulleted">
        <item>Did you know?</item>
      </list>
      <para id="id42384446">The unit that we use for measuring angles is a degree. We measure </para>
      <para id="id42269954">the size of the angle in degrees. We write an angle of 60 degrees as 60°.</para>
      <para id="id49230740">You have to learn the different types of angles:</para>
      <table id="id49230745" summary="">
        <tgroup cols="2">
          <colspec colnum="1" colname="c1"/>
          <colspec colnum="2" colname="c2"/>
          <tbody>
            <row>
              <entry namest="c1" nameend="c2">Types of angles</entry>
            </row>
            <row>
              <entry>1. The size of a <emphasis effect="bold">rotation</emphasis> or full turn is 360°</entry>
              <entry>
                <media id="id42039786" alt="">
                  <image mime-type="image/png" src="graphics7.png"/>
                </media>
              </entry>
            </row>
            <row>
              <entry>2. A <emphasis effect="bold">straight angle</emphasis> is a half turn and it is 180°.</entry>
              <entry>
                <media id="id42090056" alt="">
                  <image mime-type="image/png" src="graphics8.png"/>
                </media>
              </entry>
            </row>
            <row>
              <entry>3. A <emphasis effect="bold">right angle</emphasis> is a quarter turn and it is 90°.</entry>
              <entry>
                <media id="id42101661" alt="">
                  <image mime-type="image/png" src="graphics9.png"/>
                </media>
              </entry>
            </row>
            <row>
              <entry>4. An <emphasis effect="bold">acute angle</emphasis> is larger that 0°, but smaller than 90°.</entry>
              <entry>
                <media id="id47581453" alt="">
                  <image mime-type="image/png" src="graphics10.png"/>
                </media>
              </entry>
            </row>
            <row>
              <entry>5. An <emphasis effect="bold">obtuse angle</emphasis> is larger than 90°, but smaller than 180°.</entry>
              <entry>
                <media id="id47578538" alt="">
                  <image mime-type="image/png" src="graphics11.png"/>
                </media>
              </entry>
            </row>
          </tbody>
        </tgroup>
      </table>
    </section>
    <section id="id48621790">
      <title>ACTIVITY: Recognising and describing angles [LO 4.11]</title>
      <para id="id48621799">1. How well do you know angles?</para>
      <para id="id42252254"> Work with a partner to see if the two of you can tell what the following angles are:</para>
      <table id="id42252261" summary="">
        <tgroup cols="1">
          <colspec colnum="1" colname="c1"/>
          <tbody>
            <row>
              <entry><media id="id42603397" alt=""><image mime-type="image/png" src="graphics12.png"/></media>1.1 </entry>
            </row>
            <row>
              <entry> _________________________________</entry>
            </row>
            <row>
              <entry><media id="id47580175" alt=""><image mime-type="image/png" src="graphics13.png"/></media>1.2</entry>
            </row>
            <row>
              <entry> _________________________________</entry>
            </row>
            <row>
              <entry><media id="id42074666" alt=""><image mime-type="image/png" src="graphics14.png"/></media>1.3</entry>
            </row>
            <row>
              <entry>_________________________________</entry>
            </row>
            <row>
              <entry><media id="id42414851" alt=""><image mime-type="image/png" src="graphics15.png"/></media>1.4</entry>
            </row>
            <row>
              <entry>_________________________________</entry>
            </row>
          </tbody>
        </tgroup>
      </table>
      <section id="id49245699">
        <title/>
        <para id="para-id49245699">
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        </para>
      </section>
      <section id="id49245705">
        <title>Assessment</title>
        <para id="id47584048"><emphasis><emphasis effect="italics">Learning Outcome 4:</emphasis></emphasis>The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.</para>
        <para id="id47577063"><emphasis><emphasis effect="italics">Assessment Standard 4.11:</emphasis></emphasis> We know this when the learner recognises and describes angles in two-dimensional shapes, three-dimensional objects and the environment.</para>
      </section>
    </section>
  </content>
</document>

